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Finding the Fourth Proportional to 408.16, 613.05 and 254.17

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Solution

The fourth proportional to 408.16, 613.05 and 254.17 is: 381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.16 : 613.05 = 254.17 : x
  2. Step 2: Convert to fraction form
    408.16/613.05 = 254.17/x
  3. Step 3: Cross multiply
    408.16x = 613.05 × 254.17
  4. Step 4: Simplify right side
    408.16x = 155,818.92
  5. Step 5: Solve for x
    x = 155,818.92/408.16
  6. Step 6: Final answer
    x = 381.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.